Atkin-Lehner |
2- 3- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
86190cs |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-60172600410 = -1 · 2 · 36 · 5 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 5 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1271,-21165] |
[a1,a2,a3,a4,a6] |
j |
-7950753889/2106810 |
j-invariant |
L |
4.7319478794464 |
L(r)(E,1)/r! |
Ω |
0.39432899881912 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86190bl1 |
Quadratic twists by: 13 |